Compression algorithm for discrete light-cone quantization

被引:0
|
作者
Pu, Xiao [1 ]
Chabysheva, Sophia S. [1 ]
Hiller, John R. [1 ]
机构
[1] Univ Minnesota, Dept Phys, Duluth, MN 55812 USA
来源
PHYSICAL REVIEW E | 2013年 / 88卷 / 06期
关键词
D O I
10.1103/PhysRevE.88.063302
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We adapt the compression algorithm of Weinstein, Auerbach, and Chandra from eigenvectors of spin lattice Hamiltonians to eigenvectors of light-front field-theoretic Hamiltonians. The latter are approximated by the standard discrete light-cone quantization technique, which provides a matrix representation of the Hamiltonian eigenvalue problem. The eigenvectors are represented as singular value decompositions of two-dimensional arrays, indexed by transverse and longitudinal momenta, and compressed by truncation of the decomposition. The Hamiltonian is represented by a rank-four tensor that is decomposed as a sum of contributions factorized into direct products of separate matrices for transverse and longitudinal interactions. The algorithm is applied to a model theory to illustrate its use.
引用
收藏
页数:7
相关论文
共 50 条
  • [21] BOSONIC ZERO MODES AND GAUGE-THEORY IN DISCRETE LIGHT-CONE QUANTIZATION
    KALLONIATIS, AC
    PAULI, HC
    ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1993, 60 (02): : 255 - 264
  • [22] REGULATING 1/(K+)N SINGULARITIES IN DISCRETE LIGHT-CONE QUANTIZATION
    TANG, AC
    PHYSICAL REVIEW D, 1988, 37 (10): : 3014 - 3018
  • [23] ON THE ZERO MODE PROBLEM OF THE LIGHT-CONE QUANTIZATION
    HUANG, SZ
    LIN, W
    ANNALS OF PHYSICS, 1993, 226 (02) : 248 - 270
  • [24] Dirac's legacy: Light-cone quantization
    Pinsky, SS
    NEUTRINO MASS, DARK MATTER, GRAVITATIONAL WAVES, MONOPOLE CONDENSATION, AND LIGHT CONE QUANTIZATION, 1996, : 133 - 151
  • [25] THE FERMIONIC SCHWINGER MODEL IN LIGHT-CONE QUANTIZATION
    HEINZL, T
    KRUSCHE, S
    WERNER, E
    PHYSICS LETTERS B, 1992, 275 (3-4) : 410 - 418
  • [26] LIGHT-CONE QUANTIZATION OF GAUGE-FIELDS
    MCCARTOR, G
    ROBERTSON, DG
    ZEITSCHRIFT FUR PHYSIK C-PARTICLES AND FIELDS, 1994, 62 (02): : 349 - 355
  • [27] CURRENT AND CONSTITUENT QUARKS IN LIGHT-CONE QUANTIZATION
    EICHTEN, E
    FEINBERG, F
    WILLEMSEN, JF
    PHYSICAL REVIEW D, 1973, 8 (04) : 1204 - 1219
  • [28] PERTURBATION-THEORY IN LIGHT-CONE QUANTIZATION
    LANGNAU, A
    BRODSKY, SJ
    JOURNAL OF COMPUTATIONAL PHYSICS, 1993, 109 (01) : 84 - 92
  • [29] LIGHT-CONE QUANTIZATION AND 1/N EXPANSION
    BORDERIES, A
    GRANGE, P
    WERNER, E
    PHYSICS LETTERS B, 1993, 319 (04) : 490 - 496
  • [30] LIGHT-CONE QUANTIZATION OF THE SUPER-LIOUVILLE THEORY
    LIAO, HC
    MANSFIELD, P
    NUCLEAR PHYSICS B, 1990, 344 (03) : 696 - 730